Three of my iMac apps keep asking for Apple ID passwords

It just drives me crazy. One of this is the Movist player, which I use to view all kinds of media on my computer and use all the time. This happened with Mountain Lion and now with Mavericks. The apps in question, seem to be calling home or the Apple store and then the login/password screen appears.

Also, if I don't have an Internet connection, these apps -- like Movist -- just don't work. They don't launch. Obviously they are waiting for some Interent command.

I tried re-installing, no use, same thing.

Anyone know a way to solve this.

Thanks in advance.